I got it, in your scenario the #dollar become shit and #Bitcoin will shoot up. The main chain fees will be over the roof and people will prefer #LN. But, it doesn't mean, LN sats will be more expensive. Like I'm not going to swap ALL my corn from on-chain, most people won't. We will earn and use LN and #Liquid sats, while treat on-chain as a savings account. 

Let's say I earn/save up 1 #BTC on LN. Now, the on-chain BTC costs only 0.8 BTC. What will I do? Buy that shit straight away. The price will get to the same level because most of people will be willing to do so.